The inflation of axially symmetric membranes by linearly varying hydrostatis pressure by Lawrence K. Yu

Cover of: The inflation of axially symmetric membranes by linearly varying hydrostatis pressure | Lawrence K. Yu

Published by Engineering Research Institute, Iowa State University in Ames .

Written in English

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  • Deformations (Mechanics),
  • Membranes (Technology),
  • Hydrostatics

Edition Notes

Bibliography: p. 45.

Book details

Statement[by] L. K. Yu [and] K. C. Valanis.
SeriesIowa State University. Engineering Research Institute. Report 63
ContributionsValanis, K. C., joint author.
LC ClassificationsTA7 .I83 no. 63, TA417.6 .I83 no. 63
The Physical Object
Pagination46 p.
Number of Pages46
ID Numbers
Open LibraryOL5637373M
LC Control Number68065250

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Recommended Citation. Yu, Lawrence Kuang, "The inflation of axially symmetric membranes by linearly varying hydrostatic pressure " (). Retrospective Theses and by:   This investigation represents the application of the theory of large deformation of elastic membranes to the problem of the inflation of an axially symmetric membrane by a linearly varying hydrostatic pressure.

The membrane considered here is made of neo‐Hookean material. Under the assumption of very large deformation, it is shown that the stress resultants on the middle surface of the membrane Cited by: In the present investigation, the theory of axially symmetric membranes, with an added equation to describe the variation of the in­ flating pressure, is applied to the problem of inflation of an axi-symmetric membrane by means of a linearly varying hydrostatic pressure.

The main object of this study is to find the stress field and the de­Cited by: The inflation of axially symmetric membranes by linearly varying hydrostatic pressure. By Lawrence Kuang Yu. Topics: Membranes (Technology), Deformations (Mechanics), Elasticity, Pressure, Applied MechanicsAuthor: Lawrence Kuang Yu.

Yu, K. ValanisThe inflation of axially symmetric membranes by linearly varying hydrostatic pressure Trans. Soc. Rheol., 14 (), pp. Google ScholarCited by: 7. At these points, the addition of more water causes increased symmetric deformations but the liquid height and consequently the hydrostatic pressure remains practically constant up to a critical volume where the axisymmetric response becomes unstable and the membrane assumes an asymmetric equilibrium by: Theoretical Analysis of Pressure Drop in the Laminar Flow of Fluid in a Coiled Pipe.

Larrain and C. Bonilla. The Inflation of Axially Symmetric Membranes by Linearly Varying Hydrostatic Pressure. Yu and K. Valanis. more Transactions of the Society of Rheol 3 Figure is only valid if we assume that the stresses are varying very slowly with the x and y coordinates.

If this were not true, we would have to account for the increase in stresses over a differential element. But a more rigorous analysis will also reveal that shear stresses are symmetric, see Problem Expanding Educational.

Lecture 8: Differential Analysis/Part 2 Spring Dr. Jason Roney Mechanical and Aerospace Engineering. Outline • Pressure outside the boundary is reasonably approximated.

this makes sense since the pressure distribution is symmetric about cylinder, ahowever, in File Size: 2MB. An incompressible fluid of density ρ and viscosity μ flows through a curved duct that turns the flow °.

The duct cross-sectional area remains constant. The average velocity, momentum flux correction factor, and gage pressure are known at the inlet (1) and outlet (2), as in Fig. P6– The axisymmetric deformations of hyperelastic membranes under a linearly varying hydrostatic pressure have been examined in 5 [1,2,3, 4, 5,6,7].

The large deflection and stability behaviour of. Foster, Very large deformations of axially symmetric membranes made of neo-Hookean material Int. Eng. Sci. 5, () L. Yu and K. Valanis, The inflation of axially symmetric membranes by linearly varying hydrostatic pressure, Trans.

Soc. Rheol ()Cited by: axially symmetric flows of a perfect incompressible fluid. The axis of symmetry will be taken as the x-axis. Let x, p be the coordinates in a meridian plane.

The flow is completely determined if the velocity distribution is known in the half plane —» File Size: 1MB. Request PDF | OnYang Zhou and others published Instability of thin circular membranes subjected to hydro-static loads | Find, read and cite all the research you need on ResearchGate.

Therefore, liquids are usually referred to as incompressible substances. A pressure of atm, for example, causes the density of liquid water at 1 atm to change by just 1 percent. Gases, on the other hand, are highly compressible. A pressure change of just atm, for example, causes a change of 1 percent in the density of atmospheric air.

Membranes: Stability of a Uniformly Deformed Plane Membrane. Journal of Applied Mathematics and Physics, 22, SHIELD, R. T., On the Stability of Finitely Deformed Elastic Membranes: Stability Inflated Cylindrical and Spherical Membranes.

Journal of. Chapter 6|Solution of Viscous-Flow Problems the velocities in order to obtain the velocity gradients; numerical predictions of process variables can also be made. Typesof° broad classes of viscous °ow will be illustrated in this chapter: 1. Poiseuille °ow, in which an applied pressure difierence causes °uid motion between File Size: KB.

Numerical instability investigations for thin membranes. Yang Zhou. Dept. of Mechanics, Royal Institute of Technology The inflation of axially symmetric membranes by linearly varying hydrostatic pressure.

Transactions of The Society of Rheology, –, THE AXIALLY SYMMETRIC RESPONSE OF AN ELASTIC CYLINDRICAL SHELL PARTIALLY FILLED WITH LIQUID By Richard M. Beam and LeRoy R. Guist Ames Research Center Moffett Field, Calif. NATIONAL AERONAUTICS AND SPACE ADMINISTRATION For sale by the Clearinghouse for Federal Scientific and Technical Information Springfield, Virginia - Price $File Size: 1MB.

Perhaps the most basic, and consequently the most important, particular case of a spatial flow is an axially symmetric spatial flow, as for example flow past bodies of revolution. Let x, r, χ denote the cylindrical coordinates with the x -axis coincident with the axis of symmetry of the by: 3.

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Three theories for determination of the equilibrium states of initially flat, linearly elastic, rotationally symmetric, taut membranes are considered: Föppl-von Kármán theory, Reissner’s theory, and a new generalization of Reissner’s theory that does not restrict the strains to be small.

Attention is focused on annular membranes, but circular membranes are also by: The effect of hydrostatic pressure on the waveguiding properties of high birefringence photonic crystal fibers (HiBi PCF) is evaluated both numerically and experimentally.

A fiber design presenting form birefringence induced by two enlarged holes in the innermost ring defining the fiber core is investigated. Numerical results show that modal sensitivity to the applied pressure depends on the Cited by: Fluid Mechanics in Chemical Engineering General Concepts of a Fluid Stresses, Pressure, Velocity, and the Basic Laws Physical Properties—Density, Viscosity, and Surface Tension Units and Systems of Units Example —Units Conversion Example —Mass of Air in a Room Hydrostatics Example —Pressure in an Oil Storage Tank Example Fluid Mechanics Second Edition Joseph H.

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The thin homogeneous, isotropic, hyperelastic membrane is modelled as a neo-Hookean solid affected by only in-plane by: The linear stability of a Stokes layer with an imposed axial magnetic field - Volume - CHRISTIAN THOMAS, ANDREW P. BASSOM, CHRISTOPHER DAVIESCited by: 2. This banner text can have markup.

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the center of the tornado and the outer edge of the tornado 2 1 0 File Size: KB. Linear stability and transient growth in driven contact lines Physics of Fluids 9, ( We show that below a critical inclination angle the base state before the instability is linearly stable.

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